The solution of a mildly singular integral equation of the first kind on a ball

DOI10.1007/BF01691891zbMath0516.45001OpenAlexW4242447169MaRDI QIDQ1052589

Charles S. Kahane

Publication date: 1983

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01691891

zbMATH Keywords

existenceuniquenessexplicit formulaintegrable solutionfirst kindmildly singular

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball ⋮ Uniqueness in one inverse problem of memory reconstruction ⋮ Extension of a theorem of P. Wolfe on singular integral equations ⋮ Stability of the inverse problem for the Helmholtz equation ⋮ Minimum energy problem on the hypersphere ⋮ Minimum Riesz energy problem on the hyperdisk ⋮ Sobolev space methods for the Laplace equation in the exterior of the disk

Cites Work

• The solution of mildly singular integral equation of the first kind on a disk
• Spherical harmonics
• Singular integrals
• Elliptic Partial Differential Equations of Second Order
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